Let's solve each problem step by step by converting the given numbers into
expanded form. Expanded form means writing a number as the sum of the values of each digit based on their place value (thousands, hundreds, tens, ones, etc.).
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Problem 1: two thousand, four hundred fifty-six
First, write the number in digits:
2,456
Now break it down by place value:
- 2,000 (thousands)
- 400 (hundreds)
- 50 (tens)
- 6 (ones)
Expanded form:
2,000 + 400 + 50 + 6
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Problem 2: ninety-seven thousand, three hundred sixty-three
Write the number in digits:
97,363
Break it down:
- 90,000 (ten thousands)
- 7,000 (thousands)
- 300 (hundreds)
- 60 (tens)
- 3 (ones)
Expanded form:
90,000 + 7,000 + 300 + 60 + 3
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Problem 3: six thousand, five hundred ninety-five
Write in digits:
6,595
Break it down:
- 6,000 (thousands)
- 500 (hundreds)
- 90 (tens)
- 5 (ones)
Expanded form:
6,000 + 500 + 90 + 5
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Problem 4: thirteen thousand, four hundred fifty-two
Write in digits:
13,452
Break it down:
- 10,000 (ten thousands)
- 3,000 (thousands)
- 400 (hundreds)
- 50 (tens)
- 2 (ones)
Expanded form:
10,000 + 3,000 + 400 + 50 + 2
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✔ Final Answers:
1.
2,000 + 400 + 50 + 6
2.
90,000 + 7,000 + 300 + 60 + 3
3.
6,000 + 500 + 90 + 5
4.
10,000 + 3,000 + 400 + 50 + 2
These are the correct expanded forms for each number.
Parent Tip: Review the logic above to help your child master the concept of math 3 grade worksheet.